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Finding the Fourth Proportional to 138,685.89, 191,386.53 and 75,023.73

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Solution

The fourth proportional to 138,685.89, 191,386.53 and 75,023.73 is: 103,532.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,685.89 : 191,386.53 = 75,023.73 : x
  2. Step 2: Convert to fraction form
    138,685.89/191,386.53 = 75,023.73/x
  3. Step 3: Cross multiply
    138,685.89x = 191,386.53 × 75,023.73
  4. Step 4: Simplify right side
    138,685.89x = 14,358,531,352.36
  5. Step 5: Solve for x
    x = 14,358,531,352.36/138,685.89
  6. Step 6: Final answer
    x = 103,532.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.